Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/164701
Title: On second-order s-sub-step explicit algorithms with controllable dissipation and adjustable bifurcation point for second-order hyperbolic problems
Authors: Li, Jinze
Li, Hua
Zhao, Rui
Yu, Kaiping
Keywords: Engineering::Mechanical engineering
Issue Date: 2023
Source: Li, J., Li, H., Zhao, R. & Yu, K. (2023). On second-order s-sub-step explicit algorithms with controllable dissipation and adjustable bifurcation point for second-order hyperbolic problems. European Journal of Mechanics - A/Solids, 97, 104829-. https://dx.doi.org/10.1016/j.euromechsol.2022.104829
Journal: European Journal of Mechanics - A/Solids
Abstract: This paper proposes a self-starting, second-order accurate, composite s-sub-step explicit method, within which the first five explicit members are developed, analyzed, and compared. Each member attains maximal stability bound, reaching 2×s, where s denotes the number of sub-steps. Identical diagonal elements in the amplification matrix are required in the undamped case, and algorithmic dissipation is controlled and measured at the bifurcation point. Further, if the bifurcation point is regarded as a free parameter during the dissipation analysis, the methods can achieve simultaneously controllable algorithmic dissipation and adjustable bifurcation point. Apart from these, the optimization of low-frequency dissipation is performed in the four- and five-sub-step members. As the number of sub-steps increases, the proposed explicit members can embed better numerical characteristics. This paper provides two approaches to constructing the updating velocity schemes in all sub-steps. The first approach enlarges the stability in the damped case, while the second one enhances the solution accuracy for damping problems. Numerical examples are solved to validate the proposed explicit members’ numerical performance. The novel algorithms are often more accurate and efficient than the existing methods.
URI: https://hdl.handle.net/10356/164701
ISSN: 0997-7538
DOI: 10.1016/j.euromechsol.2022.104829
Schools: School of Mechanical and Aerospace Engineering 
Rights: © 2022 Elsevier Masson SAS. All rights reserved.
Fulltext Permission: none
Fulltext Availability: No Fulltext
Appears in Collections:MAE Journal Articles

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